ational Potential Energy A skier starts from rest at the top of a frictionless incline of height 20.0 m, as shown in the figure. At the bottom of the incline, the skier encounters a horizontal surface where the coefficient of kinetic friction between skis and snow is 0.184. Neglect air resistance. Find the skier's speed at the bottom when they reach point B. 19.8 m/s ptice position s. speed change sketch T WNC= ME,-ME or ME, = ME, %3D %3D object_ kamine FBD E

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Help me 3a and 3b

**Unit 2: Newton’s Laws and Energy**

**Module 3: Work, Kinetic Energy, and Gravitational Potential Energy**

---

**3a. A skier starts from rest at the top of a frictionless incline of height 20.0 m, as shown in the figure. At the bottom of the incline, the skier encounters a horizontal surface where the coefficient of kinetic friction between skis and snow is 0.184. Neglect air resistance.**

**Question**: Find the skier’s speed at the bottom when they reach point B.

1. **Notice**: 
   - Position vs. speed change
   - Object: Skier
   - Sketch provided showing the skier starting from rest at the top and moving down the incline.

2. **Examine**: 
   - Vectors (Notation: \( NC: F_a, f_k, T \, ? \))
   - Diagram: Skier depicted at various stages of descent.

3. **Write known/unknown variables**:
   - Known: 
     - \( h = 20.0 \, m \)
   - Unknown: 
     - \( v_f \)
     - Equations provided: \( W_{NC} = ME_f - ME_i \) or \( ME_i = ME_f \)

---

**3b. Now determine how far the skier travels on the horizontal surface before coming to a stop.**

1. **Notice**:
   - Position vs. speed change
   - Object: Skier

2. **Examine**:
   - Vectors 
   - Diagram: Skier moving from point B to C on the horizontal path.

3. **Write known/unknown variables**:
   - Known:
     - \( \mu_k = 0.184 \)
     - \( v_i \) from part a
   - Unknown:
     - \( d \)
   - Equations provided: \( W_{net} = KE_f - KE_i \)

(Each section includes sketches of the skier’s motion and relevant variables for the calculations.)
Transcribed Image Text:**Unit 2: Newton’s Laws and Energy** **Module 3: Work, Kinetic Energy, and Gravitational Potential Energy** --- **3a. A skier starts from rest at the top of a frictionless incline of height 20.0 m, as shown in the figure. At the bottom of the incline, the skier encounters a horizontal surface where the coefficient of kinetic friction between skis and snow is 0.184. Neglect air resistance.** **Question**: Find the skier’s speed at the bottom when they reach point B. 1. **Notice**: - Position vs. speed change - Object: Skier - Sketch provided showing the skier starting from rest at the top and moving down the incline. 2. **Examine**: - Vectors (Notation: \( NC: F_a, f_k, T \, ? \)) - Diagram: Skier depicted at various stages of descent. 3. **Write known/unknown variables**: - Known: - \( h = 20.0 \, m \) - Unknown: - \( v_f \) - Equations provided: \( W_{NC} = ME_f - ME_i \) or \( ME_i = ME_f \) --- **3b. Now determine how far the skier travels on the horizontal surface before coming to a stop.** 1. **Notice**: - Position vs. speed change - Object: Skier 2. **Examine**: - Vectors - Diagram: Skier moving from point B to C on the horizontal path. 3. **Write known/unknown variables**: - Known: - \( \mu_k = 0.184 \) - \( v_i \) from part a - Unknown: - \( d \) - Equations provided: \( W_{net} = KE_f - KE_i \) (Each section includes sketches of the skier’s motion and relevant variables for the calculations.)
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